77776371552 has 384 divisors, whose sum is σ = 239539120128. Its totient is φ = 21875097600.

The previous prime is 77776371523. The next prime is 77776371557. The reversal of 77776371552 is 25517367777.

It is a junction number, because it is equal to n+sod(n) for n = 77776371492 and 77776371501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77776371557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75291228 + ... + 75292260.

It is an arithmetic number, because the mean of its divisors is an integer number (623799792).

Almost surely, 2^77776371552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77776371552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119769560064).

77776371552 is an abundant number, since it is smaller than the sum of its proper divisors (161762748576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

77776371552 is a wasteful number, since it uses less digits than its factorization.

77776371552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182 (or 1174 counting only the distinct ones).

The product of its digits is 15126300, while the sum is 57.

The spelling of 77776371552 in words is "seventy-seven billion, seven hundred seventy-six million, three hundred seventy-one thousand, five hundred fifty-two".